The number 34210
34210 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 311. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 311, 622, 1555, 3110, 3421, 6842, 17105, 34210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34210: a Harshad number: divisible by its digit sum 10.
- 2
34210 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 34210 itself that is 33182, so 34210 is deficient (33182 is less than 34210). Euler's totient φ(34210) = 12400 numbers up to 34210 share no factor with it.
- 4
The digits of 34210 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34210 = 2 \times 5 \times 11 \times 311 \]
34210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 12400 |
| Square | 1170324100 |
| Cube | 40036787461000 |
| Square root | 184.959455 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.421 × |
34210 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand two hundred and ten |
| Binary (base 2) | 1000010110100010 |
| Octal (base 8) | 102642 |
| Hexadecimal (base 16) | 85A2 |
| Base 3 | 1201221001 |
| As time | 34210 seconds = 9 h 30 min 10 s |
Is 34210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34210 ÷ 2 = 17105) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34210 ÷ 5 = 6842) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34210 ÷ 10 = 3421) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34210 ÷ 11 = 3110) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34210 a prime number?
No. 34210 = 2 × 5 × 11 × 311, so it is divisible by 2.
What are the factors of 34210?
1, 2, 5, 10, 11, 22, 55, 110, 311, 622, 1555, 3110, 3421, 6842, 17105, 34210.
What is 34210 in binary?
1000010110100010 (hexadecimal 85A2, octal 102642).
What is the square root of 34210?
About 184.9595.
Is 34210 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 34210?
34210 is a Harshad number: divisible by its digit sum 10.